Find the LCM of 342, 632, 754, 352, 584 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 342, 632, 754, 352, 584. So, keep reading to learn more.
Given numbers are 342,632,754,352,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,632,754,352,584 is 130866978528.
Find LCM of 342,632,754,352,584 with Prime Factorization
2 | 342, 632, 754, 352, 584 |
2 | 171, 316, 377, 176, 292 |
2 | 171, 158, 377, 88, 146 |
171, 79, 377, 44, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 171 x 79 x 377 x 44 x 73 = 130866978528
Therefore, the lowest common multiple of 342,632,754,352,584 is 130866978528.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
342 x 632 x 754 x 352 x 584 = 33501946503168
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
632 : 1, 2, 4, 8, 79, 158, 316, 632
754 : 1, 2, 13, 26, 29, 58, 377, 754
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
584 : 1, 2, 4, 8, 73, 146, 292, 584
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,632,754,352,584, is 2.
Now, the common factors can be found like this.
342:2x 3x 3x 19
632:2x 2x 2x 79
754:2x 13x 29
352:2x 2x 2x 2x 2x 11
584:2x 2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 33501946503168/(2x128)
LCM = 33501946503168/256
LCM = 130866978528
Thus, we can understand that the LCM of 342,632,754,352,584 is 130866978528.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 632, 754, 352, 584?
Answer: LCM of 342, 632, 754, 352, 584 is 130866978528.
2. How to calculate the LCM of 342, 632, 754, 352, 584?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 342, 632, 754, 352, 584.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.